Understanding Changes in Position and Depth

The video tutorial covers three scenarios involving mathematical calculations. First, it analyzes a football game to determine the net change in field position after a series of plays. Next, it explores the concept of depth in scuba diving, calculating the relative positions of two divers. Finally, it examines a flooded basement scenario, determining the water level relative to the ground floor. Each section uses equations to illustrate the concepts of addition and subtraction with positive and negative numbers.

What is the net change in field position for Lina's team after three plays?

• 6 yards

• 8 yards

• -4 yards

• -2 yards

If a team gains 6 yards and then loses 8 yards, what is the resulting position change?

• 2 yards gained

• 2 yards lost

• 14 yards gained

• 14 yards lost

How far below the water surface is Eddie while scuba diving?

• 35 meters

• 0 meters

• 27 meters

• 8 meters

If Fran is 8 meters above Eddie, who is 35 meters below the surface, what is Fran's depth?

• -27 meters

• -43 meters

• 27 meters

• 43 meters

What does a depth of -27 meters indicate about Fran's position?

• 27 meters below the surface

• 8 meters above Eddie

• 35 meters below the surface

• 27 meters above the surface

How far below the ground floor is Fred's basement floor?

• 4.6 meters

• 3.4 meters

• 2.2 meters

• 1.2 meters

If the water in Fred's basement is 1.2 meters high, what is the water's position relative to the ground floor?

• 2.2 meters

• -2.2 meters

• -1.2 meters

• 1.2 meters

What is the correct depth of the water in Fred's basement?

• 1.2 meters

• 2.2 meters

• 3.4 meters

• 4.6 meters

If the ground floor is at 0 meters, what does a negative depth indicate?

• Above the ground floor

• Below the ground floor

• Above the water surface

• At the ground floor

What is the height of the water above the basement floor in Fred's flooded basement?

• 4.6 meters

• 1.2 meters

• 2.2 meters

• 3.4 meters